I hope this makes sense, but my teacher said he wants all exponents in the prime factorization, the example he gave was,
he wants 2^4
Is there a simple way to figure it out? for example, i'm trying to figure out 10^4.
7th grade math - Anonymous, Thursday, October 8, 2009 at 8:40pm
Prime factorization just means breaking any number into prime numbers.
10^4= 10,000. The easiest method is to just divide this number my prime numbers until it can't be divided any further. It's a good idea to start dividing with the smallest primes, like 2.
-Alright once we divided by 2, the smallest prime, 4 times, we can no longer continue dividing by 2, so we move onto larger primes. 3 does not divide evenly into 625, but 5 does.
-Ok, we can stop now because no prime we try will divide evenly into 1.
So we divided by 4 four times, and divided by 5 four times. Basically:
So the prime factorization is: (2^4)*(5^4)